Jochen Merker
Abstract:
In this article we discus the doubly nonlinear incompressible
Navier-Stokes equations
are discussed, where u models the velocity vector field
of a homogeneous incompressible non-Newtonian fluid
whose momentum
depends nonlinearly on u.
Particularly, under certain regularity assumptions it is shown
that u becomes extinct in finite time
for sufficiently small initial values u(0), if
and
with
I.